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Finding the Fourth Proportional to 3,790.90, 5,689.79 and 1,943.29

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Solution

The fourth proportional to 3,790.90, 5,689.79 and 1,943.29 is: 2,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.90 : 5,689.79 = 1,943.29 : x
  2. Step 2: Convert to fraction form
    3,790.90/5,689.79 = 1,943.29/x
  3. Step 3: Cross multiply
    3,790.90x = 5,689.79 × 1,943.29
  4. Step 4: Simplify right side
    3,790.90x = 11,056,927.62
  5. Step 5: Solve for x
    x = 11,056,927.62/3,790.90
  6. Step 6: Final answer
    x = 2,916.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.